The length of rectangular sheet of paper is 24 cm more than the breadth and perimeter of the rectangular sheet is 128 cm. Find the length of the rectangular sheet.
Answer & explanation
Correct answer: option 2
We know that,
Perimeter of a rectangle = 2(length + breadth)
We have,
Length of rectangular sheet = Breadth + 24 cm
Perimeter of rectangular sheet = 128 cm
Let the breadth of the rectangular sheet = a cm.
Then, the length of the rectangular sheet = a + 24 cm
Perimeter of the rectangular sheet = 2(length + breadth)
128 = 2(a + a + 24)
128 = 4a + 48
4a = 80
a = 20
The breadth of sheet = 20 cm.
Length of sheet = breadth + 24 = 20 + 24 = 44 cm.